Average Mean Escape Time for an Overdamped Spatially-Periodic System and Application to Josephson Junction

doi:10.1088/0256-307X/31/6/060504

Chin. Phys. Lett.

2014, Vol. 31

Issue (06): 060504 DOI: 10.1088/0256-307X/31/6/060504

GENERAL

Average Mean Escape Time for an Overdamped Spatially-Periodic System and Application to Josephson Junction

LI Jing-Hui^**

Faculty of Science, Ningbo University, Ningbo 315211

Cite this article:

LI Jing-Hui 2014 Chin. Phys. Lett. 31 060504

Download: PDF(458KB)
Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks

Abstract We investigate the average mean escape time of particles over a potential barrier for an overdamped spatially periodic system driven by thermal fluctuations and subject to a dc constant bias force and an ac time-oscillatory drive. Some new anomalous behaviors of the average mean escape time are found, including: multiple resonant activation, multiple anti-Resonant activation, and thermally weakened stability. Some of the experimental verifications of these results are theoretically applied to the Josephson junction.

Published: 26 May 2014

PACS:

05.40.-a

(Fluctuation phenomena, random processes, noise, and Brownian motion)

TRENDMD:

URL:

https://cpl.iphy.ac.cn/10.1088/0256-307X/31/6/060504 OR https://cpl.iphy.ac.cn/Y2014/V31/I06/060504

Service
	E-mail this article
	E-mail Alert
	RSS
Articles by authors
	LI Jing-Hui

[1] Seol Y et al 2009 Phys. Rev. Lett. 103 050601
V Peano and M Thorwart 2010 Europhys. Lett. 89 17008
Getfert S and Reimann P 2010 Chem. Phys. 375 386
[2] Gélinas G et al 2010 Phys. Rev. B 81 235426
[3] Ankerhold J 2007 Phys. Rev. Lett. 98 036601
[4] Pan Cheng et al 2009 Phys. Rev. E 79 030104
Kienzle U et al 2009 Phys. Rev. B 80 014504
[5] Mazo J J et al 2010 Phys. Rev. B 82 094505
Tatnatchai S et al 2014 Chin. Phys. Lett. 31 037401
[6] Wernsdorfer W et al 1997 Phys. Rev. Lett. 78 1791
Coffey W T et al 1998 Phys. Rev. Lett. 80 5655
[7] Koch R H et al 2000 Phys. Rev. Lett. 84 5419
[8] Myers E B et al 2002 Phys. Rev. Lett. 89 196801
[9] Yu Y and Han S 2003 Phys. Rev. Lett. 91 127003
Taddei F and Hekking F W J 2008 Europhys. Lett. 83 47009
[10] Wallraff A et al 2003 Nature 425 155
[11] Siddiqi I et al 2004 Phys. Rev. Lett. 93 207002
[12] Doering C R and Gadoua J C 1992 Phys. Rev. Lett. 69 2318
Reimann P 1994 Phys. Rev. E 49 4938
[13] Schmitt C, Dybiec B, H?nggi P and Bechinger C 2006 Europhys. Lett. 74 937
Iwaniszewski J et al 2008 Europhys. Lett. 82 50004
Li Jing-hui 2008 Europhys. Lett. 82 50006
Fiasconaro A et al 2010 Phys. Rev. E 82 031803
[14] Rotoli G et al 2007 Phys. Rev. B 75 144501
Chizhevsky V N 2009 Phys. Rev. E 80 061139
Pan C et al 2009 Phys. Rev. E 79 030104
Feiginov M, Sydlo C, Cojocari O and Meissner P 2011 Europhys. Lett. 94 48007
[15] Dayan Ido, Gitterman Moshe and Weiss George H 1992 Phys. Rev. A 46 757
[16] Mantegna R N et al 1996 Phys. Rev. Lett. 76 563
[17] Mankin R et al 2008 Phys. Rev. E 77 051113
Tóth S et al 2008 Phys. Rev. B 77 214409
Sun G et al 2007 Phys. Rev. E 75 021107
Fiasconaro Alessandro et al 2009 Phys. Rev. E 80 041110
Cekli H E et al 2010 Phys. Rev. Lett. 105 044503
Lemarchand A and Nowakowski B 2011 Europhys. Lett. 94 48004
Xia M et al 2013 Chin. Phys. Lett. 30 037401
[18] Gardiner C W 1983 Handbook of Stochastic Method for Physics, Chemistry and the Natural Sciences (Berlin: Springer-Verlag)
[19] Honeycutt R L 1992 Phys. Rev. A 45 600
Ramirez-Piscina L et al 1993 Phys. Rev. B 48 125
[20] Kautz R L 1996 Rep. Prog. Phys. 59 935

Related articles from Frontiers Journals

[1]	R. Salci, D. A. Acar, O. Oztirpan, M. Ramazanoglu. A New Probe: AFM Measurements for Random Disorder Systems[J]. Chin. Phys. Lett., 2019, 36(1): 060504
[2]	Xiang Zhang, Yu-Dong Li, Lin Wen, Dong Zhou, Jie Feng, Lin-Dong Ma, Tian-Hui Wang, Yu-Long Cai, Zhi-Ming Wang, Qi Guo. Radiation Effects Due to 3MeV Proton Irradiations on Back-Side Illuminated CMOS Image Sensors[J]. Chin. Phys. Lett., 2018, 35(7): 060504
[3]	Yan-Ling Feng, Jian-Min Dong, Xu-Lei Tang. Non-Markovian Effect on Gene Transcriptional Systems[J]. Chin. Phys. Lett., 2016, 33(10): 060504
[4]	Ling-Wei Kong, Rong-Zheng Wan, Hai-Ping Fang. Transportation of Two Coupled Particles in an Asymmetric Saw-Tooth Potential[J]. Chin. Phys. Lett., 2016, 33(02): 060504
[5]	ZHANG Ji-Qian, HUANG Shou-Fang, PANG Si-Tao, WANG Mao-Sheng, GAO Sheng. Synchronization in the Uncoupled Neuron System[J]. Chin. Phys. Lett., 2015, 32(12): 060504
[6]	LIU Yu-Long, YU Xiao-Ming, HAO Yu-Hua. Analytical Results for Frequency-Weighted Kuramoto-Oscillator Networks[J]. Chin. Phys. Lett., 2015, 32(11): 060504
[7]	SONG Xiao-Tian, LI Hong-Wei, YIN Zhen-Qiang, LIANG Wen-Ye, ZHANG Chun-Mei, HAN Yun-Guang, CHEN Wei, HAN Zheng-Fu. Phase-Coding Self-Testing Quantum Random Number Generator[J]. Chin. Phys. Lett., 2015, 32(08): 060504
[8]	LI Jing-Hui. Dilemma Produced by Infinity of a Random Walk[J]. Chin. Phys. Lett., 2015, 32(5): 060504
[9]	LAI Chu-Yu, CHEN Ju-Hua, WANG Yong-Jiu. The Motion of Spinning Particles in the Spacetime of a Black Hole with a Cosmic String Topological Defect[J]. Chin. Phys. Lett., 2014, 31(09): 060504
[10]	WANG Can-Jun, YANG Ke-Li, QU Shi-Xian. Time-Delay Enhanced Coherence Resonance in a Discrete Neuron with Noises[J]. Chin. Phys. Lett., 2014, 31(08): 060504
[11]	LI Jing-Hui. Response of a Superconducting Quantum Interference Device to Alternating Magnetic Field[J]. Chin. Phys. Lett., 2014, 31(06): 060504
[12]	LI Jing-Hui. Stochastic Resonance for a SQUID with Dichotomous Resistance[J]. Chin. Phys. Lett., 2014, 31(03): 060504
[13]	ZENG Ling-Zao, LIU Bing-Yang, XU Yi-Da, LI Jian-Long. Effect of Time Delay on Binary Signal Detection via a Bistable System[J]. Chin. Phys. Lett., 2014, 31(2): 060504
[14]	SUN Xiao-Juan, LU Qi-Shao. Non-Gaussian Colored Noise Optimized Spatial Coherence of a Hodgkin–Huxley Neuronal Network[J]. Chin. Phys. Lett., 2014, 31(2): 060504
[15]	Roumen Tsekov. Brownian Markets[J]. Chin. Phys. Lett., 2013, 30(8): 060504

Viewed

Full text

Abstract